{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Gaussian Shells"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Setup"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First, let's set up some environmental dependencies. These just make the numerics easier and adjust some of the plotting defaults to make things more legible."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Python 3 compatability\n",
    "from __future__ import division, print_function\n",
    "from six.moves import range\n",
    "\n",
    "# system functions that are always useful to have\n",
    "import time, sys, os\n",
    "\n",
    "# basic numeric setup\n",
    "import numpy as np\n",
    "import math\n",
    "\n",
    "# inline plotting\n",
    "%matplotlib inline\n",
    "\n",
    "# plotting\n",
    "import matplotlib\n",
    "from matplotlib import pyplot as plt\n",
    "\n",
    "# seed the random number generator\n",
    "np.random.seed(715)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# re-defining plotting defaults\n",
    "from matplotlib import rcParams\n",
    "rcParams.update({'xtick.major.pad': '7.0'})\n",
    "rcParams.update({'xtick.major.size': '7.5'})\n",
    "rcParams.update({'xtick.major.width': '1.5'})\n",
    "rcParams.update({'xtick.minor.pad': '7.0'})\n",
    "rcParams.update({'xtick.minor.size': '3.5'})\n",
    "rcParams.update({'xtick.minor.width': '1.0'})\n",
    "rcParams.update({'ytick.major.pad': '7.0'})\n",
    "rcParams.update({'ytick.major.size': '7.5'})\n",
    "rcParams.update({'ytick.major.width': '1.5'})\n",
    "rcParams.update({'ytick.minor.pad': '7.0'})\n",
    "rcParams.update({'ytick.minor.size': '3.5'})\n",
    "rcParams.update({'ytick.minor.width': '1.0'})\n",
    "rcParams.update({'font.size': 30})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import dynesty"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 2-D Gaussian Shells"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To demonstrate more of the functionality afforded by our different sampling/bounding options we will demonstrate how these various features work using a set of 2-D **Gaussian shells** with a uniform prior over $[-6, 6]$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# defining constants\n",
    "r = 2.  # radius\n",
    "w = 0.1  # width\n",
    "c1 = np.array([-3.5, 0.])  # center of shell 1\n",
    "c2 = np.array([3.5, 0.])  # center of shell 2\n",
    "const = math.log(1. / math.sqrt(2. * math.pi * w**2))  # normalization constant\n",
    "\n",
    "# log-likelihood of a single shell\n",
    "def logcirc(theta, c):\n",
    "    d = np.sqrt(np.sum((theta - c)**2, axis=-1))  # |theta - c|\n",
    "    return const - (d - r)**2 / (2. * w**2)\n",
    "\n",
    "# log-likelihood of two shells\n",
    "def loglike(theta):\n",
    "    return np.logaddexp(logcirc(theta, c1), logcirc(theta, c2))\n",
    "\n",
    "# our prior transform\n",
    "def prior_transform(x):\n",
    "    return 12. * x - 6."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# compute likelihood surface over a 2-D grid\n",
    "xx, yy = np.meshgrid(np.linspace(-6., 6., 200), np.linspace(-6., 6., 200))\n",
    "L = np.exp(loglike(np.dstack((xx, yy))))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 432x360 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot result\n",
    "fig = plt.figure(figsize=(6,5))\n",
    "plt.scatter(xx, yy, c=L, s=0.5)\n",
    "plt.xlabel(r'$x$')\n",
    "plt.ylabel(r'$y$')\n",
    "plt.colorbar(label=r'$\\mathcal{L}$');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Default Run"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's first run with just the default set of `dynesty` options."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "iter: 21158 | batch: 15 | bound: 22 | nc: 3 | ncall: 257833 | eff(%):  8.206 | loglstar: -4.860 <  1.384 <  1.255 | logz: -1.734 +/-  0.058 | stop:  0.902                                            \n"
     ]
    }
   ],
   "source": [
    "# run with all defaults\n",
    "sampler = dynesty.DynamicNestedSampler(loglike, prior_transform, ndim=2)\n",
    "sampler.run_nested()\n",
    "res = sampler.results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from dynesty import plotting as dyplot\n",
    "dyplot.cornerplot(sampler.results, span=([-6, 6], [-6, 6]), fig=plt.subplots(2, 2, figsize=(10, 10)));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Bounding Options"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's test out the bounding options available in `dynesty` (with uniform sampling) on these 2-D shells. To illustrate their baseline effectiveness, we will also disable the initial delay before our first update."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "none:\n",
      "iter: 3007 | +500 | bound: 1 | nc: 1 | ncall: 230040 | eff(%):  1.525 | loglstar:   -inf <  1.384 <    inf | logz: -1.603 +/-  0.069 | dlogz:  0.000 >  0.050                                         \n",
      "time: 14.05546522140503s\n",
      "\n",
      "single:\n",
      "iter: 3146 | +500 | bound: 134 | nc: 1 | ncall: 113408 | eff(%):  3.215 | loglstar:   -inf <  1.384 <    inf | logz: -1.880 +/-  0.072 | dlogz:  0.000 >  0.050                                       \n",
      "time: 12.799932718276978s\n",
      "\n",
      "multi:\n",
      "iter: 3053 | +500 | bound: 11 | nc: 1 | ncall: 8127 | eff(%): 43.718 | loglstar:   -inf <  1.384 <    inf | logz: -1.694 +/-  0.070 | dlogz:  0.000 >  0.050                                          \n",
      "time: 5.846663236618042s\n",
      "\n",
      "balls:\n",
      "iter: 3059 | +500 | bound: 23 | nc: 1 | ncall: 17874 | eff(%): 19.912 | loglstar:   -inf <  1.384 <    inf | logz: -1.708 +/-  0.070 | dlogz:  0.000 >  0.050                                         \n",
      "time: 14.162617444992065s\n",
      "\n",
      "cubes:\n",
      "iter: 3077 | +500 | bound: 25 | nc: 1 | ncall: 18961 | eff(%): 18.865 | loglstar:   -inf <  1.384 <    inf | logz: -1.744 +/-  0.071 | dlogz:  0.000 >  0.050                                         \n",
      "time: 9.93903398513794s\n",
      "\n"
     ]
    }
   ],
   "source": [
    "# bounding methods\n",
    "bounds = ['none', 'single', 'multi', 'balls', 'cubes']\n",
    "\n",
    "# run over each method and collect our results\n",
    "bounds_res = []\n",
    "for b in bounds:\n",
    "    sampler = dynesty.NestedSampler(loglike, prior_transform, ndim=2,\n",
    "                                    bound=b, sample='unif', nlive=500,\n",
    "                                    first_update={'min_ncall': 0.,\n",
    "                                                  'min_eff': 100.})\n",
    "    sys.stderr.flush()\n",
    "    sys.stderr.write('{}:\\n'.format(b))\n",
    "    sys.stderr.flush()\n",
    "    t0 = time.time()\n",
    "    sampler.run_nested(dlogz=0.05)\n",
    "    t1 = time.time()\n",
    "    res = sampler.results\n",
    "    res['time'] = t1 - t0\n",
    "    sys.stderr.flush()\n",
    "    sys.stderr.write('\\ntime: {0}s\\n\\n'.format(res['time']))\n",
    "    bounds_res.append(sampler.results)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see the amount of overhead associated with `'balls'` and `'cubes'` is non-trivial in this case. This mainly comes from sampling from our bouding distributions, since accepting or rejecting a point requires counting all neighbors within some radius $r$, leading to frequent nearest-neighbor searches. `dynesty` utilizes [KDTrees](https://en.wikipedia.org/wiki/K-d_tree) to help with these, adding some overhead but improving overall scaling.\n",
    "\n",
    "Runtime aside, we see that each method runs for a similar number of iterations and give similar `logz` values (with comparable errors). They thus appear to be unbiased both with respect to each other and with respect to the analytic solution ($\\ln \\mathcal{Z} = -1.75$)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To get a sense of what each of our bounds looks like, we can use some of `dynesty`'s built-in plotting functionality. First, let's take a look at the case where we had no bounds (`'none'`)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from dynesty import plotting as dyplot\n",
    "\n",
    "# initialize figure\n",
    "fig, axes = plt.subplots(1, 1, figsize=(6, 6))\n",
    "\n",
    "# plot proposals in corner format for 'none'\n",
    "fg, ax = dyplot.cornerbound(bounds_res[0], it=1500, prior_transform=prior_transform,\n",
    "                            show_live=True, fig=(fig, axes))\n",
    "ax[0, 0].set_title('No Bound', fontsize=26)\n",
    "ax[0, 0].set_xlim([-6.5, 6.5])\n",
    "ax[0, 0].set_ylim([-6.5, 6.5]);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now let's examine the single and multi-ellipsoidal cases."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1296x432 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# initialize figure\n",
    "fig, axes = plt.subplots(1, 3, figsize=(18, 6))\n",
    "axes = axes.reshape((1, 3))\n",
    "[a.set_frame_on(False) for a in axes[:, 1]]\n",
    "[a.set_xticks([]) for a in axes[:, 1]]\n",
    "[a.set_yticks([]) for a in axes[:, 1]]\n",
    "\n",
    "# plot proposals in corner format for 'single'\n",
    "fg, ax = dyplot.cornerbound(bounds_res[1], it=1500, prior_transform=prior_transform,\n",
    "                            show_live=True, fig=(fig, axes[:, 0]))\n",
    "ax[0, 0].set_title('Single', fontsize=26)\n",
    "ax[0, 0].set_xlim([-6.5, 6.5])\n",
    "ax[0, 0].set_ylim([-6.5, 6.5])\n",
    "\n",
    "# plot proposals in corner format for 'multi'\n",
    "fg, ax = dyplot.cornerbound(bounds_res[2], it=1500, prior_transform=prior_transform,\n",
    "                            show_live=True, fig=(fig, axes[:, 2]))\n",
    "ax[0, 0].set_title('Multi', fontsize=26)\n",
    "ax[0, 0].set_xlim([-6.5, 6.5])\n",
    "ax[0, 0].set_ylim([-6.5, 6.5]);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finally, let's take a look at our overlapping set of balls and cubes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1296x432 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# initialize figure\n",
    "fig, axes = plt.subplots(1, 3, figsize=(18, 6))\n",
    "axes = axes.reshape((1, 3))\n",
    "[a.set_frame_on(False) for a in axes[:, 1]]\n",
    "[a.set_xticks([]) for a in axes[:, 1]]\n",
    "[a.set_yticks([]) for a in axes[:, 1]]\n",
    "\n",
    "# plot proposals in corner format for 'balls'\n",
    "fg, ax = dyplot.cornerbound(bounds_res[3], it=1500, prior_transform=prior_transform,\n",
    "                            show_live=True, fig=(fig, axes[:, 0]))\n",
    "ax[0, 0].set_title('Balls', fontsize=26)\n",
    "ax[0, 0].set_xlim([-6.5, 6.5])\n",
    "ax[0, 0].set_ylim([-6.5, 6.5])\n",
    "\n",
    "# plot proposals in corner format for 'cubes'\n",
    "fg, ax = dyplot.cornerbound(bounds_res[4], it=1500, prior_transform=prior_transform,\n",
    "                            show_live=True, fig=(fig, axes[:, 2]))\n",
    "ax[0, 0].set_title('Cubes', fontsize=26)\n",
    "ax[0, 0].set_xlim([-6.5, 6.5])\n",
    "ax[0, 0].set_ylim([-6.5, 6.5]);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Bounding Objects"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "By default, the nested samplers in `dynesty` save all bounding distributions used throughout the course of a run, which can be accessed within the `results` dictionary. More information on these distributions can be found in `bounding.py`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<dynesty.bounding.UnitCube at 0x7f57502e9240>,\n",
       " <dynesty.bounding.MultiEllipsoid at 0x7f57502e9320>,\n",
       " <dynesty.bounding.MultiEllipsoid at 0x7f57502e93c8>,\n",
       " <dynesty.bounding.MultiEllipsoid at 0x7f575029f2e8>,\n",
       " <dynesty.bounding.MultiEllipsoid at 0x7f575029fc18>,\n",
       " <dynesty.bounding.MultiEllipsoid at 0x7f575029f358>,\n",
       " <dynesty.bounding.MultiEllipsoid at 0x7f575025b550>,\n",
       " <dynesty.bounding.MultiEllipsoid at 0x7f5741592cc0>,\n",
       " <dynesty.bounding.MultiEllipsoid at 0x7f573f7c05f8>,\n",
       " <dynesty.bounding.MultiEllipsoid at 0x7f57412fdc18>,\n",
       " <dynesty.bounding.MultiEllipsoid at 0x7f57562d21d0>,\n",
       " <dynesty.bounding.MultiEllipsoid at 0x7f575039cbe0>]"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# the proposals associated with our 'multi' bounds\n",
    "bounds_res[2].bound"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Each bounding object has a host of additional functionality that the user can experiment with. For instance, the volume contained by the *union* of ellipsoids within `MultiEllipsoid` can be estimated using **Monte Carlo integration** (but otherwise are not computed by default). These volume estimates, combined with what fraction of our samples overlap with the unit cube (since our bounding distributions can exceed our prior bounds), can give us an idea of how effectively our multi-ellipsoid bounds are shrinking over time compared with the single-ellipsoid case."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "# compute effective 'single' volumes\n",
    "single_vols = [1.]  # unit cube\n",
    "for bound in bounds_res[1].bound[1:]:\n",
    "    vol = bound.vol  # volume\n",
    "    funit = bound.unitcube_overlap() # fractional overlap with unit cube\n",
    "    single_vols.append(vol * funit)\n",
    "single_vols = np.array(single_vols)\n",
    "\n",
    "# compute effective 'multi' volumes\n",
    "multi_vols = [1.]  # unit cube\n",
    "for bound in bounds_res[2].bound[1:]:  # skip unit cube\n",
    "    vol, funit = bound.monte_carlo_vol(return_overlap=True)\n",
    "    multi_vols.append(vol * funit)  # numerical estimate via Monte Carlo methods\n",
    "multi_vols = np.array(multi_vols)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot results as a function of ln(volume)\n",
    "plt.figure(figsize=(12,6))\n",
    "plt.xlabel(r'$-\\ln X_i$')\n",
    "plt.ylabel(r'$\\ln V_i$')\n",
    "\n",
    "# 'single'\n",
    "res = bounds_res[1]\n",
    "x = -res.logvol  # ln(prior volume)\n",
    "it = res.bound_iter  # proposal idx at given iteration\n",
    "y = np.log(single_vols[it])  # corresponding ln(bounding volume)\n",
    "plt.plot(x, y, lw=3, label='single')\n",
    "\n",
    "# 'multi'\n",
    "res = bounds_res[2]\n",
    "x, it = -res.logvol, res.bound_iter\n",
    "y = np.log(multi_vols[it])\n",
    "plt.plot(x, y, lw=3, label='multi')\n",
    "plt.legend(loc='best', fontsize=24);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We see that in the beginning, only a single ellipsoid is used. After some bounding updates have been made, there is enough of an incentive to split the proposal into several ellipsoids. Although the initial ellipsoid decompositions can be somewhat unstable (i.e. bootstrapping can give relatively large volume expansion factors), over time this process leads to a significant decrease in effective overall volume. The process by which an ellipsoid is split into multiple ellipsoids can be tuned by the user using the `'vol_dec'` and `'vol_check'` keyword arguments."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Sampling Options"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's test out the sampling options available in `dynesty` (with `'multi'` bounding) on our 2-D shells defined above."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "unif:\n",
      "iter: 6086 | +1000 | bound: 5 | nc: 1 | ncall: 42340 | eff(%): 16.736 | loglstar:   -inf <  1.384 <    inf | logz: -1.678 +/-  0.049 | dlogz:  0.000 >  0.050                                         \n",
      "time: 11.346088647842407s\n",
      "\n",
      "rwalk:\n",
      "iter: 6128 | +1000 | bound: 19 | nc: 1 | ncall: 99806 | eff(%):  7.142 | loglstar:   -inf <  1.384 <    inf | logz: -1.720 +/-  0.050 | dlogz:  0.000 >  0.050                                        \n",
      "time: 13.83431601524353s\n",
      "\n",
      "rstagger:\n",
      "iter: 6187 | +1000 | bound: 19 | nc: 1 | ncall: 100452 | eff(%):  7.155 | loglstar:   -inf <  1.384 <    inf | logz: -1.779 +/-  0.050 | dlogz:  0.000 >  0.050                                       \n",
      "time: 14.143909692764282s\n",
      "\n",
      "slice:\n",
      "iter: 6184 | +1000 | bound: 18 | nc: 1 | ncall: 169919 | eff(%):  4.228 | loglstar:   -inf <  1.384 <    inf | logz: -1.776 +/-  0.050 | dlogz:  0.000 >  0.050                                       \n",
      "time: 16.168328762054443s\n",
      "\n",
      "rslice:\n",
      "iter: 6104 | +1000 | bound: 9 | nc: 1 | ncall: 104804 | eff(%):  6.778 | loglstar:   -inf <  1.384 <    inf | logz: -1.696 +/-  0.049 | dlogz:  0.000 >  0.050                                        \n",
      "time: 12.346131563186646s\n",
      "\n",
      "hslice:\n",
      "iter: 6097 | +1000 | bound: 25 | nc: 1 | ncall: 2527256 | eff(%):  0.281 | loglstar:   -inf <  1.384 <    inf | logz: -1.689 +/-  0.049 | dlogz:  0.000 >  0.050                                      \n",
      "time: 113.01402306556702s\n",
      "\n"
     ]
    }
   ],
   "source": [
    "# bounding methods\n",
    "sampling = ['unif', 'rwalk', 'rstagger', 'slice', 'rslice', 'hslice']\n",
    "\n",
    "# run over each method and collect our results\n",
    "sampling_res = []\n",
    "for s in sampling:\n",
    "    sampler = dynesty.NestedSampler(loglike, prior_transform, ndim=2,\n",
    "                                    bound='multi', sample=s, nlive=1000)\n",
    "    sys.stderr.flush()\n",
    "    sys.stderr.write('{}:\\n'.format(s))\n",
    "    sys.stderr.flush()\n",
    "    t0 = time.time()\n",
    "    sampler.run_nested(dlogz=0.05)\n",
    "    t1 = time.time()\n",
    "    res = sampler.results\n",
    "    res['time'] = t1 - t0\n",
    "    sys.stderr.flush()\n",
    "    sys.stderr.write('\\ntime: {0}s\\n\\n'.format(res['time']))\n",
    "    sampling_res.append(sampler.results)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As expected, uniform sampling in 2-D is substantially more efficient that other more complex alternatives (especially `'hslice'`, which is computing numerical gradients!). Regardless of runtime, however, we see that each method runs for a similar number of iterations and gives similar `logz` values (with comparable errors). They thus appear to be unbiased both with respect to each other and with respect to the analytic solution ($\\ln\\mathcal{Z} = −1.75$)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Bootstrapping"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "One of the largest overheads associated with nested sampling is the time needed to propose new bounding distributions. To avoid bounding distributions that fail to properly encompass the remaining likelihood, `dynesty` automatically expands the volume of all bounding distributions by an enlargement factor (`enlarge`). By default, this factor is set to a constant value of `1.25`. However, it can also be determined in real time using **bootstrapping** (over the set of live points) following the scheme outlined in [Buchner (2014)](https://arxiv.org/abs/1407.5459).\n",
    "\n",
    "Bootstrapping these expansion factors can help to ensure accurate evidence estimation when the proposals rely heavily on the *size* of an object rather than the overall *shape*, such as when proposing new points uniformly within their boundaries. In theory, it also helps to prevent mode \"death\": if occasionally a secondary mode disappears when bootstrapping, the existing bounds would be expanded to theoretically encompass it. In practice, however, most modes are widely separated, leading enormous expansion factors whenever any possible instance of mode death may occur. \n",
    "\n",
    "Bootstrapping thus imposes a *de facto* floor on the number of acceptable live points to avoid mode death for any given problem, which can often be quite large for many problems. **While these numbers are often justified**, they can drastically reduce the raw sampling efficiency until such a target threshold of live points is reached."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We showcase this behavior below by illustrating the performance of our `NestedSampler` on several N-D Gaussian shells with and without bootstrapping."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "# setup for running tests over gaussian shells in arbitrary dimensions\n",
    "def run(ndim, bootstrap, bound, method, nlive):\n",
    "    \"\"\"Convenience function for running in any dimension.\"\"\"\n",
    "\n",
    "    c1 = np.zeros(ndim)\n",
    "    c1[0] = -3.5\n",
    "    c2 = np.zeros(ndim)\n",
    "    c2[0] = 3.5\n",
    "    f = lambda theta: np.logaddexp(logcirc(theta, c1), logcirc(theta, c2))\n",
    "    sampler = dynesty.NestedSampler(f, prior_transform, ndim,\n",
    "                                    bound=bound, sample=method, nlive=nlive, \n",
    "                                    bootstrap=bootstrap, \n",
    "                                    first_update={'min_ncall': 0.,\n",
    "                                                  'min_eff': 100.})\n",
    "    sampler.run_nested(dlogz=0.5)\n",
    "    \n",
    "    return sampler.results\n",
    "\n",
    "# analytic ln(evidence) values\n",
    "ndims = [2, 5, 10]\n",
    "analytic_logz = {2: -1.75,\n",
    "                 5: -5.67,\n",
    "                 10: -14.59}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "2 dimensions:\n",
      "iter: 7983 | +2000 | bound: 10 | nc: 1 | ncall: 30953 | eff(%): 32.252 | loglstar:   -inf <  1.384 <    inf | logz: -1.690 +/-  0.025 | dlogz:  0.000 >  0.500                                        \n",
      "time: 43.00237488746643s\n",
      "\n",
      "5 dimensions:\n",
      "iter: 16001 | +2000 | bound: 15 | nc: 1 | ncall: 46010 | eff(%): 39.124 | loglstar:   -inf <  1.384 <    inf | logz: -5.698 +/-  0.052 | dlogz:  0.000 >  0.500                                       \n",
      "time: 67.4037013053894s\n",
      "\n",
      "10 dimensions:\n",
      "iter: 33831 | +2000 | bound: 38 | nc: 1 | ncall: 113128 | eff(%): 31.673 | loglstar:   -inf <  1.384 <    inf | logz: -14.613 +/-  0.085 | dlogz:  0.000 >  0.500                                     \n",
      "time: 206.95178890228271s\n",
      "\n"
     ]
    }
   ],
   "source": [
    "# results with bootstrapping\n",
    "results = []\n",
    "for ndim in ndims:\n",
    "    t0 = time.time()\n",
    "    sys.stderr.flush()\n",
    "    sys.stderr.write('{} dimensions:\\n'.format(ndim))\n",
    "    sys.stderr.flush()\n",
    "    res = run(ndim, 20, 'multi', 'unif', 2000)\n",
    "    sys.stderr.flush()\n",
    "    res.time = time.time() - t0\n",
    "    sys.stderr.write('\\ntime: {0}s\\n\\n'.format(res['time']))\n",
    "    results.append(res)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "2 dimensions:\n",
      "iter: 8076 | +2000 | bound: 9 | nc: 1 | ncall: 26774 | eff(%): 37.634 | loglstar:   -inf <  1.384 <    inf | logz: -1.737 +/-  0.026 | dlogz:  0.000 >  0.500                                         \n",
      "time: 11.807486534118652s\n",
      "\n",
      "5 dimensions:\n",
      "iter: 15865 | +2000 | bound: 17 | nc: 1 | ncall: 52303 | eff(%): 34.157 | loglstar:   -inf <  1.384 <    inf | logz: -5.629 +/-  0.051 | dlogz:  0.000 >  0.500                                       \n",
      "time: 22.599231243133545s\n",
      "\n",
      "10 dimensions:\n",
      "iter: 33833 | +2000 | bound: 33 | nc: 1 | ncall: 100994 | eff(%): 35.480 | loglstar:   -inf <  1.384 <    inf | logz: -14.615 +/-  0.085 | dlogz:  0.000 >  0.500                                     \n",
      "time: 63.17081332206726s\n",
      "\n"
     ]
    }
   ],
   "source": [
    "# results without bootstrapping\n",
    "results2 = []\n",
    "for ndim in ndims:\n",
    "    t0 = time.time()\n",
    "    sys.stderr.flush()\n",
    "    sys.stderr.write('{} dimensions:\\n'.format(ndim))\n",
    "    sys.stderr.flush()\n",
    "    res = run(ndim, 0, 'multi', 'unif', 2000)\n",
    "    sys.stderr.flush()\n",
    "    res.time = time.time() - t0\n",
    "    sys.stderr.write('\\ntime: {0}s\\n\\n'.format(res['time']))\n",
    "    results2.append(res)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "With bootstrapping:\n",
      "D  analytic    logz  logzerr   nlike  eff(%)   time\n",
      " 2    -1.75   -1.69     0.02   30953   32.25   43.00\n",
      " 5    -5.67   -5.70     0.05   46010   39.12   67.40\n",
      "10   -14.59  -14.61     0.08  113128   31.67  206.95\n",
      "\n",
      "\n",
      "Without bootstrapping:\n",
      "D  analytic    logz  logzerr   nlike  eff(%)   time\n",
      " 2    -1.75   -1.74     0.03   26774   37.63   11.81\n",
      " 5    -5.67   -5.63     0.05   52303   34.16   22.60\n",
      "10   -14.59  -14.61     0.08  100994   35.48   63.17\n"
     ]
    }
   ],
   "source": [
    "print('With bootstrapping:')\n",
    "print(\"D  analytic    logz  logzerr   nlike  eff(%)   time\")\n",
    "for ndim, res in zip(ndims, results):\n",
    "    print(\"{:2d}   {:6.2f}  {:6.2f}     {:4.2f}  {:6d}   {:5.2f}  {:6.2f}\"\n",
    "          .format(ndim, analytic_logz[ndim], res.logz[-1], res.logzerr[-1],\n",
    "                  sum(res.ncall), res.eff, res.time))\n",
    "print('\\n')\n",
    "print('Without bootstrapping:')\n",
    "print(\"D  analytic    logz  logzerr   nlike  eff(%)   time\")\n",
    "for ndim, res in zip(ndims, results2):\n",
    "    print(\"{:2d}   {:6.2f}  {:6.2f}     {:4.2f}  {:6d}   {:5.2f}  {:6.2f}\"\n",
    "          .format(ndim, analytic_logz[ndim], res.logz[-1], res.logzerr[-1],\n",
    "                  sum(res.ncall), res.eff, res.time))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "While our results are comparable between both cases, in higher dimensions multi-ellipsoid bounding distributions can sometimes be over-constrained, leading to biased results. Other sampling methods mitigate this problem by sampling *conditioned* on the ellipsoid axes, and so only depends on ellipsoid shapes, not sizes. `'rslice'` is demonstrated below."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "2 dimensions:\n",
      "iter: 8120 | +2000 | bound: 11 | nc: 1 | ncall: 215787 | eff(%):  4.690 | loglstar:   -inf <  1.384 <    inf | logz: -1.759 +/-  0.026 | dlogz:  0.000 >  0.500                                       \n",
      "time: 18.313457012176514s\n",
      "\n",
      "5 dimensions:\n",
      "iter: 15801 | +2000 | bound: 21 | nc: 1 | ncall: 409706 | eff(%):  4.345 | loglstar:   -inf <  1.384 <    inf | logz: -5.597 +/-  0.051 | dlogz:  0.000 >  0.500                                      \n",
      "time: 34.57554864883423s\n",
      "\n",
      "10 dimensions:\n",
      "iter: 33528 | +2000 | bound: 44 | nc: 1 | ncall: 862804 | eff(%):  4.118 | loglstar:   -inf <  1.384 <    inf | logz: -14.462 +/-  0.084 | dlogz:  0.000 >  0.500                                     \n",
      "time: 74.04435849189758s\n",
      "\n"
     ]
    }
   ],
   "source": [
    "# adding on slice sampling\n",
    "results3 = []\n",
    "for ndim in ndims:\n",
    "    t0 = time.time()\n",
    "    sys.stderr.flush()\n",
    "    sys.stderr.write('{} dimensions:\\n'.format(ndim))\n",
    "    sys.stderr.flush()\n",
    "    res = run(ndim, 0, 'multi', 'rslice', 2000)\n",
    "    sys.stderr.flush()\n",
    "    res.time = time.time() - t0\n",
    "    sys.stderr.write('\\ntime: {0}s\\n\\n'.format(res['time']))\n",
    "    results3.append(res)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Random Slice sampling:\n",
      "D  analytic    logz  logzerr    nlike   eff(%)   time\n",
      " 2    -1.75   -1.76     0.03    215787    4.69   18.31\n",
      " 5    -5.67   -5.60     0.05    409706    4.34   34.58\n",
      "10   -14.59  -14.46     0.08    862804    4.12   74.04\n"
     ]
    }
   ],
   "source": [
    "print('Random Slice sampling:')\n",
    "print(\"D  analytic    logz  logzerr    nlike   eff(%)   time\")\n",
    "for ndim, res in zip([2, 5, 10, 20], results3):\n",
    "    print(\"{:2d}   {:6.2f}  {:6.2f}     {:4.2f}  {:8d}   {:5.2f}  {:6.2f}\"\n",
    "          .format(ndim, analytic_logz[ndim], res.logz[-1], res.logzerr[-1],\n",
    "                  sum(res.ncall), res.eff, res.time))"
   ]
  }
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